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Section 1 describes the unit circle and it’s usefulness with respect to the six trig ratios and reference angles. The approach to remember the twelve sines and cosines of the standard angles (π/6, π/4, and π/3) over the four quadrants – just remember 1, 2, 3.
Section 2 develops the various trig identities from the trig ratios and the Pythagorean Theorem. Other topics of this section includes negative angles, Law of Sines, Law of Cosines and analysis of the sine function. Complex numbers are reviewed and Euler’s formula is discussed. A discussion of DeMoivre’s formula follows and the section ends with tips for simplifying trig identities. A summary of identities and formulas is also provided in this section.
Section 3 introduces polar coordinates and vectors. Other topics: unit vectors, adding vectors, scalar multiplication, vector projection, dot product cross products and triple products.
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